What is the degree of zero polynomial ?
A. 0
B. 1
C. Any natural number
D. Not defined
Last updated date: 22nd Mar 2023
•
Total views: 307.5k
•
Views today: 8.84k
Answer
307.5k+ views
Hint – In order to solve this problem we need to know the concept that The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients. Using this will take you to the right answer.
Complete step-by-step answer:
As we know that : The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
By this definition, the degree of a non-zero constant is zero and that of a zero polynomial is not-defined.
Hence it is not defined.
So, the correct option is D.
Note – To solve this problem we should use the key concept that, like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either. As such, its degree is undefined. Using this will take you to the right answer.
Complete step-by-step answer:
As we know that : The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
By this definition, the degree of a non-zero constant is zero and that of a zero polynomial is not-defined.
Hence it is not defined.
So, the correct option is D.
Note – To solve this problem we should use the key concept that, like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either. As such, its degree is undefined. Using this will take you to the right answer.
Recently Updated Pages
If abc are pthqth and rth terms of a GP then left fraccb class 11 maths JEE_Main

If the pthqth and rth term of a GP are abc respectively class 11 maths JEE_Main

If abcdare any four consecutive coefficients of any class 11 maths JEE_Main

If A1A2 are the two AMs between two numbers a and b class 11 maths JEE_Main

If pthqthrth and sth terms of an AP be in GP then p class 11 maths JEE_Main

One root of the equation cos x x + frac12 0 lies in class 11 maths JEE_Main

Trending doubts
What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?
